Question

Solve for a 7x - 5 < 13 Give your answer as an improper fraction in its simplest form.

Answer 1

`x < (18)/(7)`

Explanation:

We are being asked to solve for x as an improper fraction in simplest form given the equation:
`7x - 5 < 13`.

First, we must isolate the variables (x's) from the constants (numbers). We can achieve this by adding 5 to both sides.

`7x - 5 + 5 < 13 + 5`

`7x < 18`

Then, we can solve for one multiple of x by dividing both sides by x's coefficient, which is 7.

`7x < 18\\\overline{\ 7\ } \ \ \ \: \overline{\ 7\ }`

`x < (18)/(7)`

Answer 2

`x < (18)/(5)`

Explanation:

Solving inequalities:

7x - 5 < 13

Add 5 to both sides

7x < 13 + 5

7x < 18

Divide both sides by 7,

`\sf x < (18)/(7)`